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Finding the Third Proportional to 60,324 and 132,546

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Solution

The third proportional to 60,324 and 132,546 is: 291,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,324 : 132,546 = 132,546 : x
  2. Step 2: Convert to fraction form
    60,324/132,546 = 132,546/x
  3. Step 3: Cross multiply
    60,324x = 132,546 × 132,546
  4. Step 4: Simplify right side
    60,324x = 17,568,442,116
  5. Step 5: Solve for x
    x = 17,568,442,116/60,324
  6. Step 6: Final answer
    x = 291,234.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.